2258891640000 has 420 divisors, whose sum is σ = 8442595892016. Its totient is φ = 576178944000.

The previous prime is 2258891639989. The next prime is 2258891640001. The reversal of 2258891640000 is 461988522.

2258891640000 is a `hidden beast` number, since 2 + 2 + 588 + 9 + 1 + 64 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2258891640001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8143594 + ... + 8416406.

Almost surely, 2^{2258891640000} is an apocalyptic number.

2258891640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258891640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221297946008).

2258891640000 is an abundant number, since it is smaller than the sum of its proper divisors (6183704252016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2258891640000 is a wasteful number, since it uses less digits than its factorization.

2258891640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272874 (or 272846 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2258891640000 in words is "two trillion, two hundred fifty-eight billion, eight hundred ninety-one million, six hundred forty thousand".